Kossowski, Marek Lower bounds for the extrinsic total curvatures of a space-like codimension 2 surface in Minkowski space. (English) Zbl 0703.53052 Proc. Am. Math. Soc. 109, No. 3, 787-795 (1990). Given an orthogonal splitting of Minkowski space \(M^ 4=E^ 3\oplus E^-\) and a spacelike surface immersed in \(M^ 4\) two well-defined lightlike sections of the normal bundle of the surface can be defined. Using these sections two split curvatures and two split mean curvatures can be defined, and through these a quartic curvature K and a quartic mean curvature H. The author then proves several theorems involving the associated total curvatures for any oriented, compact surface. Reviewer: M.Magid MSC: 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics 53B30 Local differential geometry of Lorentz metrics, indefinite metrics 53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) Keywords:Minkowski space; spacelike surface; two split curvatures; total curvatures PDFBibTeX XMLCite \textit{M. Kossowski}, Proc. Am. Math. Soc. 109, No. 3, 787--795 (1990; Zbl 0703.53052) Full Text: DOI